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Finding the Fourth Proportional to 367,877.57, 507,654.68 and 214,929.90

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Solution

The fourth proportional to 367,877.57, 507,654.68 and 214,929.90 is: 296,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,877.57 : 507,654.68 = 214,929.90 : x
  2. Step 2: Convert to fraction form
    367,877.57/507,654.68 = 214,929.90/x
  3. Step 3: Cross multiply
    367,877.57x = 507,654.68 × 214,929.90
  4. Step 4: Simplify right side
    367,877.57x = 109,110,168,532.28
  5. Step 5: Solve for x
    x = 109,110,168,532.28/367,877.57
  6. Step 6: Final answer
    x = 296,593.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.